A fair die is rolled once followed by tossing a fair coin. A random variable X is defined as: X = number appears in rolling the die plus 1 if head appears, or X = number appears in rolling the die plus 0 if tail appears. (a) Crate a probability distribution table for X. (b) Calculate the mean and variance of X.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A fair die is rolled once followed by tossing a fair coin. A random variable X is defined as: X = number appears in rolling the die plus 1 if head appears, or X = number appears in rolling the die plus 0 if tail appears.

(a) Crate a probability distribution table for X.

(b) Calculate the mean and variance of X.

 

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